Point Slope form definition

The point slope form definition provides an effective way to equation of straight line given a single point and slope. The method involves plotting the point and slope on a graph to get the equation for straight line. The name Point-Slope Form comes because it involves a single point and the slope of line to derive the equation.

Point Slope form equation for straight line:

The point slope form equation is derived for 2 dimensions i.e. x an y axis. A graph can also be plotted on a 2D axis with a point and the slope to it. It explains that the difference in y co-ordinates of any 2 given points on a line is directly proportional to the difference of x co-ordinates.

Point Slope form formula for straight line:

Given a point (x1,y1) and slope m, the point slope form formula is y-y1 = m(x-x1). This formula proves the proportionality between y co-ordinates and the x ones. The figure given below shows a straight line passing through 2 points and having slope m, being plotted on a 2D graph.

Now let's find the equation of a line passing through point (6,5) and having slope of 3. From the point slope form equation, we can write (y-5) = 3(x-6). Solving further gives 3x – y -13 =0 which is the equation of a straight line passing through (6,5) with slope 3. Thus we have got the idea of finding equation of a straight line using a single point and slope. The slope can be founded out easily by extending the lines from two points and than taking the ratio of difference of y co-ordinates to that of x co-ordinates. Thus point-slope form makes it easier finding the equation of a line.

Ian Roberts
Engineer
San Francisco, USA

"If you're at school or you just deal with mathematics, you need to use Studygeek.org. This thing is really helpful."
Lisa Jordan
Math Teacher
New-York, USA

"I will recommend Studygeek to students, who have some chalenges in mathematics. This Site has bunch of great lessons and examples. "
John Maloney
Student, Designer
Philadelphia, USA

" I'm a geek, and I love this website. It really helped me during my math classes. Check it out) "
Steve Karpesky
Bookkeeper
Vancuver, Canada

"I use Studygeek.org a lot on a daily basis, helping my son with his geometry classes. Also, it has very cool math solver, which makes study process pretty fun"